225689688 has 288 divisors, whose sum is σ = 777872160. Its totient is φ = 58705920.

The previous prime is 225689669. The next prime is 225689743. The reversal of 225689688 is 886986522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3178693 + ... + 3178763.

It is an arithmetic number, because the mean of its divisors is an integer number (2700945).

Almost surely, 2^225689688 is an apocalyptic number.

225689688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225689688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388936080).

225689688 is an abundant number, since it is smaller than the sum of its proper divisors (552182472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225689688 is a wasteful number, since it uses less digits than its factorization.

225689688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 225689688 is about 15022.9720095592. The cubic root of 225689688 is about 608.8410207296.

The spelling of 225689688 in words is "two hundred twenty-five million, six hundred eighty-nine thousand, six hundred eighty-eight".